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Adaptive L_2 control of nonlinear systems using neural networks

Adaptive L_2 control of nonlinear systems using neural networks
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摘要 An adaptive neural network controller is developed to achieve output-tracking of a class of nonlinear systems. The global L 2 stability of the closed-loop system is established. The proposed control design overcomes the limitation of the conventional adaptive neural control design where the modeling error brought by neural networks is assumed to be bounded over a compact set. Moreover, the generalized matching conditions are also relaxed in the proposed L 2 control design as the gains for the external disturbances entering the system are allowed to have unknown upper bounds. An adaptive neural network controller is developed to achieve output-tracking of a class of nonlinear systems. The global L 2 stability of the closed-loop system is established. The proposed control design overcomes the limitation of the conventional adaptive neural control design where the modeling error brought by neural networks is assumed to be bounded over a compact set. Moreover, the generalized matching conditions are also relaxed in the proposed L 2 control design as the gains for the external disturbances entering the system are allowed to have unknown upper bounds.
出处 《控制理论与应用(英文版)》 EI 2004年第4期332-338,共7页
关键词 Adaptive control Neural network Nonlinear systems STABILITY L 2 controller Backstepping design Adaptive control Neural network Nonlinear systems Stability L 2 controller Backstepping design
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参考文献3

  • 1F. Girosi,T. Poggio.Networks and the best approximation property[J].Biological Cybernetics.1990(3)
  • 2A.U.Levin,K.S.Narendra.Controlofnonlineardynamicalsystemsusingneuralnetworks:controllabilityandstabilization[].IEEE Transactions on Neural Networks.1993
  • 3T.Poggio,F.Girosi.Networksandthebestapproximationproperty[].Biological Cybernetics.1990

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